1.a)Se simplifica cu 6axy =>2ay/3x
b)Se simplifica cu 3abc =>-9bc²
c)Se simplifica cu 5y³ =>3a³/4xy³
d)Se simplifica cu -3xyz =>-1/3xyz
e)Se simplifica cu 5xy =>√5x/y
2.a)x(x-2)/(x-2)=x
b)x(y+1)/y(y+1)=x/y
c)4(2x-1)/8x(2x-1)=1/2x
d)9(a²-1)/3(a+1)=9(a-1)(a+1)/3(a+1)=3(a-1)
3.a)12a(a²+2ab+b²)/6(a+b)=12a(a+b)²/6(a+b)=2a(a+b)
b)(2a+3)²/(2a+3)(2a-3)=(2a+3)/(2a-3)
c)x²(x-2)/x(x²-4x+4)=x²(x-2)/(x-2)²=x²/(x-2)
d)[b(a+x)+y(a+x)]/a(a+x)=(b+y)(a+x)/a(a+x)=(b+y)/a
e)(x+y+z)²/[(y+z)²-x²]=(x+y+z)²/(y+z+x)(y+z-x)=(x+y+z)/(y+z-x)
f)
g)
4.a)(x-5)(x+5)/(x-5)²=(x-5)/(x+5)
b)(2x-1)²/(2x-1)(2x+1)=(2x-1)/(2x+1)
c)(x√5-3)(x√5+3)/(x√5+3)=(x√5-3)
d)(x-1)(x-5)/(x-1)(x-6)=(x-5)/(x-6)
e)(x-2)(x-6)/(x-2)(x-3)=(x-6)/(x-3)
f)(x+9/4)(x-1)/(x+8/5)(x-1)=(x+9/4)/(x+8/5)
g)(x-2√2)(x+2√2)/(x-2√2)²=(x+2√2)/(x-2√2)
h)5(x+2)/(x-3)(x+2)=5/(x-3)
Ceea ce am lasat nefacut, m-am poticnit pe drum...
